QUESTION 1
Easy
The perimeter of a circle is 44 cm. What is its radius?
SOLUTION
Given,
Circumference (Perimeter), \(C = 44\) cm
Using
\(C = 2πr\)
Substitute \(π = \frac{22}{7}\)
\(44 = 2 × \frac{22}{7} × r\)
⇒ \(44 = \frac{44}{7}r\)
⇒ \(308 = 44r\)
⇒ \(r = \frac{308}{44}\)
⇒ \(r = 7\)
So, its radius is 7 cm.
Circumference (Perimeter), \(C = 44\) cm
Using
\(C = 2πr\)
Substitute \(π = \frac{22}{7}\)
\(44 = 2 × \frac{22}{7} × r\)
⇒ \(44 = \frac{44}{7}r\)
⇒ \(308 = 44r\)
⇒ \(r = \frac{308}{44}\)
⇒ \(r = 7\)
So, its radius is 7 cm.
🏆
Final Answer : Its radius is 7 cm.
Concept Note
The perimeter of a circle is called its circumference, which is given by the formula
\(C = 2πr\)
where \(r = \) radius